Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 8 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 nan
nan 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 9 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 10 11 11 12 12 13 12 12 11 11 10 10 9 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 10 10 11 11 11 nan
nan 6 5 5 4 4 4 4 3 3 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 8 10 13 14 14 12 10 8 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 12 12 12 13 12 12 11 11 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 11 11 10 9 9 8 8 9 10 10 10 10 10 10 10 11 11 nan
nan 7 6 6 5 5 4 4 4 4 4 4 5 7 8 9 9 9 8 8 7 7 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 5 5 7 9 12 14 16 16 14 11 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 10 10 11 12 12 13 13 13 12 11 11 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 11 9 9 10 10 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 nan
nan 9 8 7 6 5 5 5 5 5 5 6 8 10 12 13 13 12 11 10 8 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 7 10 13 16 16 16 14 12 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 10 11 11 12 12 13 13 13 12 12 11 10 10 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 10 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 10 10 10 11 nan
nan 10 9 7 6 6 6 6 6 7 9 12 15 18 20 20 19 17 15 12 11 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 4 5 8 11 14 16 16 15 13 11 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 12 11 10 9 9 8 8 9 9 10 11 11 12 12 13 13 13 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 nan
nan 11 9 7 7 6 6 7 8 10 14 19 24 26 27 26 23 21 18 15 13 11 10 9 8 8 7 7 7 7 7 7 6 6 6 5 4 3 4 7 10 13 14 14 13 11 9 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 11 11 nan
nan 11 9 7 6 6 6 7 9 12 18 23 27 28 26 24 22 20 18 17 15 13 11 10 9 8 8 8 8 8 8 8 7 6 5 4 2 2 3 6 8 11 12 12 10 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 11 11 12 13 13 13 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 nan
nan 10 8 7 6 5 6 7 10 14 20 24 24 22 19 17 16 16 16 16 15 14 13 12 10 9 8 8 9 9 10 10 9 7 5 4 2 2 2 4 6 8 10 10 9 8 7 7 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 nan
nan 9 7 6 5 5 7 10 14 18 22 22 19 15 12 11 11 12 14 14 15 15 14 13 11 10 9 9 9 10 10 10 10 9 7 5 4 3 3 4 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 10 11 11 12 11 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 nan
nan 9 7 6 6 7 9 14 19 22 23 20 16 12 9 8 9 10 12 13 14 14 14 13 12 10 9 9 9 10 10 10 10 10 9 7 6 5 5 5 6 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 11 11 11 12 12 11 11 10 9 9 8 8 8 9 9 9 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 11 11 10 9 8 9 9 9 9 10 10 10 10 10 10 nan
nan 8 6 5 6 7 10 16 20 21 19 16 13 10 9 8 8 10 11 12 12 13 12 12 11 10 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 12 12 11 11 10 9 8 8 8 8 9 9 9 10 10 10 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 9 9 9 9 10 10 10 10 10 10 10 nan
nan 7 6 4 4 5 7 12 16 16 14 13 11 10 8 8 8 8 9 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 10 9 8 8 7 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 10 10 10 11 11 11 12 12 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 nan
nan 7 6 5 4 3 4 7 10 11 11 11 10 9 8 7 7 7 7 8 8 8 9 8 8 7 8 9 10 12 13 13 13 12 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 10 10 10 10 11 11 11 12 12 11 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 7 6 5 4 5 8 9 11 12 11 9 8 7 7 7 7 7 7 7 7 7 6 5 6 7 9 12 15 16 16 14 13 11 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 12 12 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 9 10 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 9 8 8 8 11 14 17 18 17 14 12 11 10 10 9 8 8 7 7 7 6 5 5 6 8 11 15 17 17 16 15 13 11 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 7 7 8 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 8 7 7 6 6 6 6 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 nan
nan 10 10 11 11 11 12 14 17 21 24 25 24 21 18 16 15 14 13 11 10 9 8 8 8 7 7 7 8 11 14 16 17 17 16 14 12 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 7 7 9 10 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 12 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 6 6 6 6 6 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 10 nan
nan 8 8 9 11 12 14 16 20 24 26 27 25 22 20 18 17 16 15 13 11 10 10 10 10 9 9 9 10 12 15 17 18 18 17 15 13 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 8 10 12 12 12 11 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 8 7 7 6 6 6 6 6 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 11 11 10 10 9 8 9 9 10 11 11 10 10 nan
nan 5 5 6 8 11 13 15 18 21 23 23 21 19 18 17 16 16 15 14 12 12 11 11 11 10 10 10 12 15 18 20 21 21 18 16 14 12 10 10 9 9 9 9 9 9 8 8 8 8 7 6 5 5 5 7 9 11 13 13 11 10 10 9 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 10 9 9 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 11 10 9 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 10 9 8 8 9 10 10 10 10 10 nan
nan 3 3 4 6 9 10 12 14 17 19 20 18 17 16 15 15 15 14 13 13 12 12 11 10 9 9 9 13 18 22 25 26 24 20 17 14 12 11 10 9 9 9 9 9 9 9 8 8 8 7 6 4 3 4 5 8 11 13 13 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 10 9 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 11 9 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 9 8 8 9 9 9 9 9 nan
nan 4 4 5 6 7 8 9 10 13 16 18 18 17 16 14 14 14 13 13 12 12 11 10 8 7 6 9 14 21 28 31 31 28 22 18 15 13 11 10 10 9 10 10 9 9 9 9 9 8 7 6 4 3 3 4 7 11 14 14 13 12 11 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 12 12 11 10 9 8 8 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 10 11 12 13 14 13 10 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 10 11 12 12 10 8 7 8 8 9 9 8 nan
nan 7 7 8 8 7 7 7 8 10 14 18 18 18 16 15 13 13 12 12 11 11 10 8 6 4 4 8 16 25 34 37 35 30 23 18 15 13 11 10 10 10 10 10 10 9 9 9 9 8 7 5 3 2 2 4 8 13 16 16 15 14 12 10 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 12 12 12 12 11 9 8 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 13 14 15 14 12 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 11 12 12 13 12 12 11 11 11 12 12 11 10 9 9 10 11 11 10 8 7 7 8 8 8 8 nan
nan 10 10 10 9 9 8 8 8 11 14 18 19 19 17 15 14 12 12 11 10 9 7 5 3 2 3 9 17 27 34 37 34 28 22 18 15 13 12 10 10 10 10 10 10 10 10 9 9 8 7 5 4 2 1 4 8 14 18 19 18 16 13 10 8 7 7 7 7 7 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 10 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 15 15 14 13 11 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 12 11 11 12 13 13 12 10 9 9 10 11 11 9 8 8 8 8 8 9 nan
nan 10 9 9 9 9 9 10 12 14 17 19 20 19 18 16 14 12 11 9 8 7 5 4 2 2 4 10 17 23 29 31 28 24 20 17 15 13 12 11 10 10 10 10 10 10 10 9 9 7 6 5 4 4 3 5 9 14 18 19 18 16 13 10 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 12 13 13 12 11 10 8 8 7 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 13 14 14 14 12 11 10 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 12 12 12 12 13 13 13 12 11 11 10 10 10 10 9 8 8 8 8 8 nan
nan 8 8 7 7 7 9 12 15 18 19 20 20 20 18 16 14 12 9 7 6 4 3 2 2 4 7 12 16 19 21 23 22 20 18 16 14 13 12 11 10 10 11 11 10 10 10 9 8 6 5 5 5 7 7 8 10 12 15 16 15 14 11 9 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 10 8 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 8 8 nan
nan 8 8 7 7 8 10 13 16 19 20 20 20 19 18 16 14 11 8 5 2 1 -0 -1 1 6 10 13 15 15 16 17 18 17 17 16 14 13 12 11 11 11 11 10 10 10 10 9 8 6 5 5 6 9 10 11 11 10 11 11 11 10 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 10 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 nan
nan 8 9 9 10 11 13 16 18 19 19 19 18 18 17 14 12 9 5 2 -1 -3 -4 -3 3 8 12 14 15 14 13 14 16 16 16 15 14 13 12 12 11 11 10 10 10 10 9 9 8 7 6 6 7 9 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 10 9 8 7 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 8 8 7 7 8 8 9 9 9 10 10 10 11 11 12 12 13 13 13 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 nan
nan 8 9 9 11 13 16 20 22 20 18 16 15 15 14 11 9 6 3 -1 -5 -8 -7 -2 6 12 14 15 14 13 12 14 15 16 16 16 14 13 12 12 11 11 10 10 10 9 9 8 8 8 8 8 9 10 10 10 9 8 7 7 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 11 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 11 11 12 11 11 10 9 9 9 9 8 8 8 8 9 9 10 9 9 8 7 7 7 7 8 9 9 10 10 10 10 10 11 11 11 12 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 nan
nan 8 8 8 9 12 18 25 27 24 19 15 12 11 10 7 4 3 1 -3 -8 -10 -9 -2 7 13 14 14 13 12 13 14 15 16 16 16 15 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 10 11 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 8 8 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 nan
nan 9 8 8 8 11 18 26 28 27 22 17 12 9 5 2 1 0 0 -2 -7 -10 -9 -3 4 9 11 11 11 12 13 14 15 16 16 15 14 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 11 12 12 13 12 11 10 8 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 8 8 7 8 8 9 9 9 9 9 10 11 11 12 nan
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nan 7 8 9 12 15 19 23 26 26 24 20 12 5 0 -3 -2 1 3 5 2 -2 -2 -2 -0 3 5 7 10 12 13 14 14 14 14 14 13 13 12 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 12 12 13 12 12 11 11 10 10 10 10 10 11 10 10 9 10 11 12 12 11 9 8 8 8 8 8 7 6 6 6 7 7 8 nan
nan 3 3 6 11 15 18 20 22 21 20 17 10 4 0 -2 -2 1 5 7 7 4 3 2 2 3 5 7 10 12 13 14 14 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 9 9 9 9 10 10 10 11 12 13 13 13 12 12 12 11 11 11 11 10 10 10 9 8 8 9 10 12 13 12 11 10 9 9 9 9 9 8 8 7 8 8 9 nan
nan 0 -1 0 5 10 12 14 15 16 15 13 9 4 1 -0 -0 2 5 8 9 8 6 5 4 4 6 8 10 11 13 14 15 14 14 13 13 12 12 11 11 11 10 10 10 9 9 9 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 11 12 12 12 13 12 12 12 11 11 11 11 11 11 11 10 8 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 nan
nan 1 -1 -2 -0 3 5 7 9 10 11 10 9 6 4 2 2 3 5 8 9 9 8 7 6 6 7 8 10 11 12 14 15 15 14 13 13 12 12 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 11 11 11 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 11 12 12 10 9 8 8 8 9 9 9 9 10 10 11 10 10 9 9 10 10 10 10 10 10 nan
nan 5 4 3 3 3 3 4 5 7 8 9 9 8 6 5 4 4 6 7 9 9 9 8 8 7 7 8 9 11 12 13 14 15 14 13 13 12 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 11 11 11 10 10 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 nan
nan 12 12 12 10 9 8 7 7 7 8 9 9 9 8 7 6 6 6 7 8 9 10 10 9 8 8 8 9 10 12 13 14 14 14 13 13 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 12 12 12 11 11 10 11 11 11 11 11 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 11 11 11 10 10 9 8 9 10 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 15 18 18 18 16 14 12 11 11 11 11 11 11 10 9 8 8 7 8 8 9 10 10 9 9 8 8 9 10 11 13 14 14 14 13 13 12 12 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 12 12 12 12 11 11 11 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 13 16 18 19 19 18 17 16 15 14 14 13 13 12 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 11 12 13 14 14 14 13 12 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 12 12 12 12 12 11 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 11 12 12 11 11 10 11 11 10 10 10 10 10 10 10 11 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 nan
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nan 15 15 15 16 16 16 17 17 17 18 18 18 19 19 20 20 21 21 20 19 19 18 17 16 16 16 15 15 15 15 15 16 16 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 11 11 12 12 11 10 10 10 10 11 12 13 13 13 13 14 14 14 15 14 13 12 10 9 9 9 9 8 8 9 9 10 11 12 13 10 7 5 4 5 7 9 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 14 14 14 14 14 15 15 16 17 17 18 18 19 19 20 21 22 22 22 21 20 18 17 16 16 16 16 15 15 15 16 16 16 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 11 11 11 10 9 8 8 8 8 8 8 7 7 8 8 10 11 12 13 13 13 14 15 15 14 13 11 10 9 9 9 9 9 9 9 9 10 10 12 13 14 12 9 6 4 3 6 8 9 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 12 12 13 13 14 15 16 17 17 18 18 19 20 21 22 22 22 21 20 19 17 17 16 16 16 16 16 16 16 17 16 16 16 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 7 7 7 6 6 6 7 7 8 10 12 12 13 13 13 13 15 15 15 14 12 10 9 9 9 9 10 10 10 10 10 10 12 13 13 13 11 9 5 4 6 7 9 10 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 nan
nan 11 12 12 12 12 13 14 15 15 16 17 17 18 19 20 20 21 21 22 21 20 20 19 18 17 17 16 16 17 17 17 17 17 17 16 15 15 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 10 9 9 8 8 9 9 10 12 12 13 13 13 14 15 16 16 14 12 10 9 10 10 11 12 12 11 10 10 10 11 12 13 14 14 12 7 5 6 7 9 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 12 12 13 13 14 14 15 16 17 18 18 19 19 19 20 20 21 21 21 21 20 19 18 18 17 17 17 18 17 17 17 16 15 15 14 13 13 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 11 13 14 16 16 14 13 12 10 10 10 10 11 11 12 12 13 14 16 17 16 14 10 8 8 9 11 13 14 14 12 11 9 10 12 13 15 17 15 11 6 5 6 8 9 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 12 13 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 12 13 13 14 14 15 16 16 17 17 17 17 18 19 20 21 22 22 22 21 20 19 18 18 17 17 17 17 17 16 15 15 14 14 13 13 13 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 10 9 9 10 12 14 16 17 17 16 15 13 11 10 10 10 10 11 12 12 13 14 17 16 13 10 8 7 8 10 12 13 14 13 11 10 10 12 14 16 17 14 9 5 5 6 8 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 12 12 13 13 13 14 14 15 15 15 15 15 16 17 18 20 21 22 23 23 22 21 20 19 18 18 18 17 17 16 16 15 15 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 12 11 10 10 9 10 12 14 16 17 17 16 15 14 13 12 11 12 13 13 13 13 14 16 16 15 12 10 8 8 8 9 11 12 13 12 11 11 12 13 14 14 11 9 7 7 8 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 11 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
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nan 11 11 10 11 11 12 12 12 13 13 14 14 14 14 15 16 17 18 19 19 20 21 21 22 22 22 22 21 21 20 20 19 18 16 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 8 7 6 6 7 7 8 9 10 11 13 14 15 15 15 16 17 17 17 15 14 14 13 12 12 11 12 14 15 16 15 13 12 10 9 9 9 9 11 12 13 13 13 13 11 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 11 11 11 11 11 11 11 12 12 12 14 14 15 15 15 16 16 17 18 18 18 19 20 20 21 22 22 22 22 21 21 20 19 17 16 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 9 7 5 4 4 4 5 6 8 10 11 13 14 15 15 14 15 15 16 15 12 11 10 9 9 9 10 12 12 13 12 12 12 12 12 10 9 9 12 13 15 16 14 13 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 11 11 11 11 11 11 11 11 12 12 13 14 15 15 15 16 16 16 16 16 16 17 18 19 19 20 21 21 22 22 21 21 20 18 17 16 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 8 6 5 3 3 4 5 7 9 11 13 15 15 14 13 13 12 13 12 11 10 9 9 9 10 10 10 10 10 11 12 12 12 12 11 12 14 16 18 17 14 11 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 11 11 12 13 14 14 15 15 15 16 16 15 15 14 14 15 16 17 18 20 20 21 22 22 22 21 20 19 18 16 15 14 14 14 14 14 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 14 14 14 14 13 11 10 7 5 4 4 5 7 9 13 16 17 17 16 13 12 11 11 11 11 10 10 10 9 9 10 9 9 10 11 12 13 13 14 16 18 20 20 16 12 9 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 9 10 10 11 11 11 11 12 13 13 14 14 15 15 15 15 15 15 14 14 14 14 14 16 18 20 21 22 22 22 22 21 20 19 18 17 16 16 15 15 15 14 13 13 13 13 12 12 12 13 13 13 13 13 14 13 13 13 13 13 13 15 16 16 16 15 15 14 14 14 15 16 16 16 17 16 16 14 11 9 7 6 7 9 12 15 17 19 18 15 12 11 11 11 11 11 11 10 10 10 10 10 10 11 13 14 15 16 17 20 23 23 20 13 9 6 6 7 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 11 11 11 12 13 13 14 14 14 14 14 15 15 15 15 15 14 14 15 17 19 20 21 23 23 23 23 23 22 21 20 20 19 18 17 16 16 15 14 14 13 13 13 12 12 12 13 13 13 13 13 13 13 12 11 10 11 13 15 16 17 16 15 14 14 13 13 14 15 15 16 17 18 18 16 14 12 9 8 9 12 14 15 16 16 14 13 12 11 11 11 12 11 11 11 11 11 11 13 14 16 17 17 18 20 22 24 22 16 8 5 4 6 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 9 10 10 10 10 11 12 12 13 13 14 13 14 14 15 16 16 16 17 17 18 19 21 22 23 24 24 24 24 25 25 24 24 23 22 21 21 20 18 18 17 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 11 10 8 8 9 11 13 14 14 13 13 12 12 11 12 12 12 13 14 16 18 18 17 15 12 10 10 11 12 12 13 12 13 13 13 13 12 11 11 11 11 11 12 12 14 15 18 19 20 19 19 20 21 20 16 9 4 3 4 6 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 9 10 10 10 10 10 11 12 12 12 12 13 13 13 14 15 16 18 19 20 21 22 23 24 24 25 25 25 26 26 26 26 26 25 25 24 23 22 21 20 19 17 16 16 15 14 13 13 13 13 13 13 13 13 13 12 11 9 8 7 7 7 8 10 10 10 11 11 11 11 11 11 11 11 12 14 16 17 18 17 15 12 11 11 11 11 12 12 13 13 14 13 12 11 11 11 11 12 13 15 17 19 21 21 20 19 18 18 18 15 9 5 2 2 5 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 7 7 8 9 9 9 9 10 10 11 11 12 12 12 12 12 13 14 15 17 18 19 20 21 21 22 22 21 22 22 23 24 24 25 26 27 27 26 26 25 24 23 22 21 19 18 17 16 15 14 14 13 13 13 13 13 13 12 11 10 9 8 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 11 12 14 16 17 18 17 15 13 12 11 12 13 14 14 14 13 11 10 10 11 11 12 13 15 18 20 22 22 20 18 16 15 14 13 9 4 2 1 3 7 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 7 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 15 16 16 17 18 17 17 16 16 15 15 16 17 18 20 21 24 26 26 26 26 26 26 25 23 22 21 20 18 17 16 15 15 14 14 13 13 13 13 13 12 11 10 10 10 10 9 10 10 11 11 10 10 9 9 9 10 10 11 11 12 13 15 17 18 18 17 16 14 13 14 15 15 15 14 12 11 10 10 10 11 12 15 17 20 21 22 20 18 16 14 13 11 8 3 1 -1 2 6 9 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
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nan 8 7 7 7 7 7 7 7 7 7 8 9 10 11 11 12 12 12 12 12 11 11 10 11 11 11 11 10 8 7 8 9 13 16 18 18 19 20 21 22 23 24 24 25 25 25 25 24 23 22 20 19 18 17 16 16 15 14 13 11 9 8 8 10 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 12 13 13 13 14 14 15 17 18 17 15 12 10 9 9 9 10 11 12 13 14 14 15 17 19 21 20 18 15 13 10 6 3 -0 -1 2 6 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 10 10 10 10 9 10 10 11 11 11 11 10 11 11 14 16 18 19 19 19 20 20 21 22 23 25 26 27 27 26 25 23 22 20 19 18 17 17 16 15 14 12 10 8 7 7 9 10 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 14 15 16 16 15 13 11 10 10 10 10 12 14 15 15 15 16 19 23 24 22 19 15 12 8 5 2 -0 0 4 8 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 9 8 8 8 8 9 10 11 11 12 12 13 14 16 18 19 20 19 19 19 20 21 23 25 26 26 25 24 23 21 20 20 19 19 18 18 17 17 16 15 13 11 9 9 9 10 10 11 11 11 12 13 13 14 14 14 14 13 13 13 12 12 13 14 16 17 18 18 18 17 14 11 9 8 9 10 13 15 17 18 18 18 19 21 20 19 16 13 10 7 3 -0 -1 1 5 9 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 6 6 7 9 10 10 11 11 12 13 14 16 18 20 21 20 19 18 19 20 22 25 26 25 24 22 21 20 20 20 21 21 20 20 20 19 19 18 16 15 14 13 12 11 10 10 10 10 11 12 14 14 14 15 14 14 14 14 13 13 15 17 19 21 20 20 18 14 11 8 7 7 8 10 13 15 17 18 19 19 18 17 17 15 14 12 8 4 1 -2 -2 3 6 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 10 8 6 5 6 7 8 9 9 9 9 10 12 14 15 17 18 18 18 18 17 16 17 19 21 23 24 24 23 22 22 22 23 24 24 25 25 24 24 23 22 21 19 17 16 15 14 13 12 11 10 10 11 12 13 14 14 14 14 14 14 14 14 14 15 17 19 20 19 17 13 9 7 6 6 7 8 11 12 14 16 19 20 20 18 16 14 13 12 10 6 2 -1 -2 1 5 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 9 10 11 11 11 12 11 11 10 10 11 12 13 13 13 12 11 11 10 8 6 6 6 8 10 10 9 8 8 9 12 15 16 16 16 16 15 14 14 13 14 16 18 20 21 21 21 21 22 22 24 25 26 27 27 26 26 25 24 22 20 18 17 16 16 15 14 13 12 11 11 12 13 13 14 14 14 13 12 12 12 13 14 14 15 16 16 14 10 6 6 5 6 8 9 10 12 13 16 20 22 22 20 16 14 11 9 6 3 -0 -2 -0 4 7 9 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 12 12 12 12 nan
nan 11 12 13 14 15 14 13 12 11 11 11 12 13 13 12 12 11 10 9 8 7 7 8 9 10 9 8 7 8 9 12 14 14 14 13 13 12 12 12 12 13 14 16 17 17 18 18 19 20 21 21 22 23 24 24 24 23 23 22 22 21 20 18 18 17 16 16 15 14 13 13 13 13 13 14 15 15 13 12 11 11 12 12 12 13 14 15 14 10 8 7 7 8 9 10 10 11 13 15 19 21 21 20 16 12 9 6 3 1 1 2 4 7 8 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 nan
nan 14 15 15 15 15 14 12 11 10 9 9 10 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 9 10 11 12 12 12 11 11 11 11 12 12 13 13 14 15 15 16 17 18 18 19 19 20 21 21 22 22 22 22 21 21 21 20 20 19 18 17 17 16 16 15 14 14 14 14 15 16 16 15 13 12 11 11 11 12 12 13 13 13 12 10 9 8 9 10 10 10 11 12 14 16 16 17 16 14 11 7 5 3 3 4 6 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 nan
nan 14 15 14 13 11 10 10 9 8 8 8 9 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 15 15 16 17 17 18 19 20 20 21 21 21 21 21 21 20 20 20 19 19 18 18 17 16 16 15 15 15 15 16 16 15 14 13 12 11 11 12 12 13 12 11 11 10 9 10 10 10 10 11 11 11 12 12 13 12 12 11 10 9 8 7 7 7 8 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 nan
nan 12 12 11 10 8 9 10 10 10 10 9 11 12 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 14 14 15 16 17 18 19 20 21 21 21 21 20 20 20 19 19 19 18 18 17 17 16 15 15 15 15 14 14 14 14 13 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 14 13 11 7 5 6 10 15 19 20 21 23 25 28 33 39 54 89 139 184 202 195 191 201 219 242 263 281 303 327 354 381 390 379 352 312 264 215 166 122 87 66 48 29 14 4 0 2 4 4 3 1 0 0 0 0 0 2 5 7 9 10 12 13 11 10 9 8 9 12 15 20 26 30 37 40 40 37 33 29 27 28 31 30 28 25 21 18 14 12 11 10 9 9 9 10 11 12 11 8 4 1 0 0 0 2 3 3 3 2 2 2 2 2 3 43 139 277 416 500 506 491 479 478
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